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| <p>
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| {{BlaueBox|TEXT=
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| <B style="font-size:18px">Funktion:</B>
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| $$x(t) = A_1\cdot cos\Big(2\pi f_1\cdot t- \frac{2\pi}{360}\cdot \phi_1\Big)+A_2\cdot cos\Big(2\pi f_2\cdot t- \frac{2\pi}{360}\cdot \phi_2\Big)$$
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| }}
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| </p>
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|
| |
| <html>
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| <head>
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| <meta charset="utf-8" />
| |
| <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/0.99.6/jsxgraphcore.js"></script>
| |
| <!-- <script type="text/javascript" src="https://en.lntwww.de/MathJax/unpacked/MathJax.js?config=TeX-AMS-MML_HTMLorMML-full,local/mwMathJaxConfig"></script> -->
| |
| <!-- <script type="text/javascript" src="https://cdn.rawgit.com/mathjax/MathJax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML-full"></script> -->
| |
| <style> | | <style> |
| .button {
| | body { |
| background-color: black;
| | font-family: sans-serif; |
| border: none;
| | font-size: 0.875em; |
| color: white;
| |
| font-family: arial;
| |
| padding: 8px 20px;
| |
| text-align: center;
| |
| text-decoration: none;
| |
| display: inline-block;
| |
| font-size: 16px;
| |
| border-radius: 15px;
| |
| }
| |
| .button:active {
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| background-color: #939393;
| |
| }
| |
| | |
| .grid {
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| display: grid;
| |
| grid-template-columns: 70% 30%;
| |
| grid-gap: 10px;
| |
| } | | } |
| | | .container { |
| .box:nth-child(3), | | top: 20px; |
| .box:nth-child(4)
| | left: 20px; |
| {
| | width: 400px; |
| grid-column: span 2; | | height: 300px; |
| } | | border-style: dotted; |
| | | border-width: 1px; |
| </style>
| | padding: 20px; |
| </head>
| | } |
| | | .blue { |
| <body onload="drawNow()">
| | background-color: #ccccff; |
| | | } |
| <div class="grid">
| | .green { |
| | | background-color: #ccffcc; |
| <div id="cnfBoxHtml" class="jxgbox" style="width:600px; height:150px; float:top; margin:-10px 20px 100px 0px;"></div>
| | } |
| | | </style> |
| <div>
| | <script> |
| <p>
| | // Create PanelLayouts to add to the GridLayout. |
| <input type="checkbox" id="gridbox" onclick="showgrid();" checked> <label for="gridbox">Gitterlinien Zeigen</label>
| | var panel1 = new OO.ui.PanelLayout( { |
| <button class="button" onclick="drawNow();">Reset</button>
| | $content: $( '<p>Panel One</p>'), |
| </p>
| | classes: ['blue'] |
| </div>
| | }); |
| | | |
| <div id="pltBoxHtml" class="jxgbox" style="width:600px; height:600px; border:1px solid black; margin:-100px 20px 10px 0px;"></div>
| | var panel2 = new OO.ui.PanelLayout( { |
| | | $content: $( '<p>Panel Two</p>' ), |
| <div>
| | classes: ['green'] |
| <table>
| | }); |
| <tr>
| | |
| <td>$x(t)$= <span id="x(t)"></span> $\quad$ </td>
| | var panel3 = new OO.ui.PanelLayout( { |
| <td>$x(t+ T_0)$= <span id="x(t+T_0)"></span> $\quad$ </td>
| | $content: $( '<nowiki><p>Panel Three</p>' ), |
| <td>$x(t+2T_0)$= <span id="x(t+2T_0)"></span> $\quad$ </td>
| | classes: ['green'] |
| <td>$x_{\text{max}}$= <span id="x_max"></span> $\quad$ </td>
| | }); |
| <td style="color:blue;">$T_0$= <span id="T_0"></span> $\quad$ </td>
| | |
| </tr>
| | var panel4 = new OO.ui.PanelLayout( { |
| </table> | | $content: $( '<nowiki><p>Panel Four</p>' ), |
| </div>
| | classes: ['blue'] |
| | | }); |
| </div>
| | |
| | | // Create a GridLayout. |
| | | var grid = new OO.ui.GridLayout( [ panel1, panel2, panel3, panel4 ], { |
| | | classes: [ 'container' ], |
| <script type="text/javascript"> | | widths: [ 1/2 , 1/2 ], |
| function drawNow() {
| | heights: [ 1/2 , 1/2 ] |
| // Grundeinstellungen der beiden Applets
| | } ); |
| JXG.Options.text.useMathJax = true;
| | $( 'body' ).append( grid.$element ); |
| cnfBox = JXG.JSXGraph.initBoard('cnfBoxHtml', {
| |
| showCopyright: false, showNavigation: false, axis: false,
| |
| grid: false, zoom: { enabled: false }, pan: { enabled: false },
| |
| boundingbox: [-1, 2.2, 12.4, -2.2]
| |
| });
| |
| pltBox = JXG.JSXGraph.initBoard('pltBoxHtml', {
| |
| showCopyright: false, axis: false,
| |
| zoom: { factorX: 1.1, factorY: 1.1, wheel: true, needshift: true, eps: 0.1 },
| |
| grid: false, boundingbox: [-0.5, 2.2, 12.4, -2.2]
| |
| });
| |
| cnfBox.addChild(pltBox);
| |
| // Einstellungen der Achsen
| |
| xaxis = pltBox.create('axis', [[0, 0], [1, 0]], {
| |
| name: '$\\dfrac{t}{T}$',
| |
| withLabel: true, label: { position: 'rt', offset: [-25, -10] }
| |
| });
| |
| yaxis = pltBox.create('axis', [[0, 0], [0, 1]], {
| |
| name: '$x(t)$',
| |
| withLabel: true, label: { position: 'rt', offset: [10, -5] }
| |
| });
| |
| // Erstellen der Schieberegler
| |
| sldA1 = cnfBox.create('slider', [ [-0.7, 1.5], [3, 1.5], [0, 0.5, 1] ], {
| |
| suffixlabel: '$A_1=$',
| |
| unitLabel: 'V', snapWidth: 0.01
| |
| }),
| |
| sldF1 = cnfBox.create('slider', [ [-0.7, 0.5], [3, 0.5], [0, 1, 10] ], {
| |
| suffixlabel: '$f_1=$',
| |
| unitLabel: 'kHz', snapWidth: 0.1
| |
| }),
| |
| sldPHI1 = cnfBox.create('slider', [ [-0.7, -0.5], [3, -0.5], [-180, 0, 180] ], {
| |
| suffixlabel: '$\\phi_1=$',
| |
| unitLabel: 'Grad', snapWidth: 5
| |
| }),
| |
| sldA2 = cnfBox.create('slider', [ [6, 1.5], [9.7, 1.5], [0, 0.5, 1] ], {
| |
| suffixlabel: '$A_2=$',
| |
| unitLabel: 'V', snapWidth: 0.01
| |
| }),
| |
| sldF2 = cnfBox.create('slider', [ [6, 0.5], [9.7, 0.5], [0, 2, 10] ], {
| |
| suffixlabel: '$f_2=$',
| |
| unitLabel: 'kHz', snapWidth: 0.1
| |
| }),
| |
| sldPHI2 = cnfBox.create('slider', [ [6, -0.5], [9.7, -0.5], [-180, 90, 180] ], {
| |
| suffixlabel: '$\\phi_2=$',
| |
| unitLabel: 'Grad', snapWidth: 5
| |
| }),
| |
| sldT = cnfBox.create('slider', [ [-0.7, -1.5], [3, -1.5], [0, 0, 10] ], {
| |
| suffixlabel: '$t=$',
| |
| unitLabel: 's', snapWidth: 0.2
| |
| }),
| |
| // Definition der Funktion
| |
| signaldarstellung = pltBox.create('functiongraph', [function(x) {
| |
| return (sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * x - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * x - 2 * Math.PI * sldPHI2.Value() / 360))
| |
| }], {
| |
| strokeColor: "red"
| |
| });
| |
| // Definition des Punktes p_T0, des Hilfspunktes p_T0h und der Geraden l_T0 für Periodendauer T_0
| |
| p_T0 = pltBox.create('point', [
| |
| function() {
| |
| return (Math.round(getT0() * 100) / 100);
| |
| },
| |
| function() {
| |
| return sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (Math.round(getT0() * 100) / 100) - 2 * Math.PI * sldPHI1.Value() / 360) +
| |
| sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (Math.round(getT0() * 100) / 100) - 2 * Math.PI * sldPHI2.Value() / 360);
| |
| }],
| |
| { color: "blue", fixed: true, label: false, size: 1, name: '' }
| |
| );
| |
| p_T0h = pltBox.create('point',
| |
| [function() { return (Math.round(getT0() * 100) / 100); }, 2],
| |
| { visible: false, color: "blue", fixed: true, label: false, size: 1, name: '' }
| |
| );
| |
| l_T0 = pltBox.create('line', [p_T0, p_T0h])
| |
| // Bestimmung des Wertes T_0 mit der Funktion von Siebenwirth
| |
| setInterval(function() {
| |
| document.getElementById("T_0").innerHTML = Math.round(getT0() * 100) / 100;
| |
| }, 50);
| |
| function isInt(n) {
| |
| return n % 1 === 0;
| |
| }
| |
| function getT0() {
| |
| var A, B, C, Q;
| |
| if (sldF1.Value() < sldF2.Value()) {
| |
| A = sldF1.Value();
| |
| B = sldF2.Value();
| |
| } else {
| |
| B = sldF1.Value();
| |
| A = sldF2.Value();
| |
| }
| |
| // console.log('Berechne T0 mit A=' + A, 'B=' + B);
| |
| for (var x = 1; x <= 100; x++) {
| |
| C = A / x;
| |
| Q = B / C;
| |
| // console.log(x + '. Durchgang: C = ' + C, 'Q = ' + Q);
| |
| if (isInt(Q)) {
| |
| // console.log('Q ist eine Ganzzahl!!! T0 ist damit ', 1 / C);
| |
| return 1 / C;
| |
| }
| |
| if (x === 10) {
| |
| return 10;
| |
| }
| |
| if ((1 / C) > 10)
| |
| return 10
| |
| }
| |
| }
| |
| // Ausgabe des Wertes x(t)
| |
| setInterval(function() {
| |
| document.getElementById("x(t)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * sldT.Value() - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * sldT.Value() - 2 * Math.PI * sldPHI2.Value() /
| |
| 360)) * 1000) / 1000;
| |
| }, 50);
| |
| // Ausgabe des Wertes x(t+T_0)
| |
| setInterval(function() {
| |
| document.getElementById("x(t+T_0)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (sldT.Value() + Math.round(getT0() * 1000) / 1000) - sldPHI1.Value()) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (sldT.Value() +
| |
| Math.round(getT0() * 1000) / 1000) - sldPHI2.Value())) * 1000) / 1000;
| |
| }, 50);
| |
| // Ausgabe des Wertes x(t+2T_0)
| |
| setInterval(function() {
| |
| document.getElementById("x(t+2T_0)").innerHTML = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (sldT.Value() + 2 * Math.round(getT0() * 1000) / 1000) - sldPHI1.Value()) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (sldT.Value() +
| |
| 2 * Math.round(getT0() * 1000) / 1000) - sldPHI2.Value())) * 1000) / 1000;
| |
| }, 50);
| |
| // Ausgabe des Wertes x_max
| |
| setInterval(function() {
| |
| var x = new Array(50000);
| |
| for (var i = 0; i < 50001; i++) {
| |
| x[i] = Math.round((sldA1.Value() * Math.cos(2 * Math.PI * sldF1.Value() * (i / 1000) - 2 * Math.PI * sldPHI1.Value() / 360) + sldA2.Value() * Math.cos(2 * Math.PI * sldF2.Value() * (i / 1000) - 2 * Math.PI * sldPHI2.Value() / 360)) * 1000) / 1000;
| |
| }
| |
| document.getElementById("x_max").innerHTML = Math.max.apply(Math, x);
| |
| }, 50);
| |
| };
| |
| // Definition der Funktion zum An- und Ausschalten des Koordinatengitters
| |
| function showgrid() {
| |
| if (gridbox.checked) {
| |
| xaxis = pltBox.create('axis', [ [0, 0], [1, 0] ], {});
| |
| yaxis = pltBox.create('axis', [ [0, 0], [0, 1] ], {});
| |
| } else {
| |
| xaxis.removeTicks(xaxis.defaultTicks);
| |
| yaxis.removeTicks(yaxis.defaultTicks);
| |
| }
| |
| pltBox.fullUpdate();
| |
| };
| |
| </script> | | </script> |
| </body>
| |
| </html>
| |
|
| |
| {{Display}}
| |
<style>
body {
font-family: sans-serif;
font-size: 0.875em;
}
.container {
top: 20px;
left: 20px;
width: 400px;
height: 300px;
border-style: dotted;
border-width: 1px;
padding: 20px;
}
.blue {
background-color: #ccccff;
}
.green {
background-color: #ccffcc;
}
</style>
<script>
// Create PanelLayouts to add to the GridLayout.
var panel1 = new OO.ui.PanelLayout( {
$content: $( '
Panel One
'),
classes: ['blue']
});
var panel2 = new OO.ui.PanelLayout( {
$content: $( '
Panel Two
' ),
classes: ['green']
});
var panel3 = new OO.ui.PanelLayout( {
$content: $( '<nowiki>
Panel Three
' ),
classes: ['green']
});
var panel4 = new OO.ui.PanelLayout( {
$content: $( '<nowiki>
Panel Four
' ),
classes: ['blue']
});
// Create a GridLayout.
var grid = new OO.ui.GridLayout( [ panel1, panel2, panel3, panel4 ], {
classes: [ 'container' ],
widths: [ 1/2 , 1/2 ],
heights: [ 1/2 , 1/2 ]
} );
$( 'body' ).append( grid.$element );
</script>
